Skip to main content Accessibility help
×
Home

Strong compactness and stationary sets

Published online by Cambridge University Press:  12 March 2014


John Krueger
Affiliation:
Kurt Gödel Research Center for Mathematical, Logic University of Vienna, Währingerstrasse 25 1090 Vienna, AustriaE-mail:, jkrueger@logic.univie.ac.at URL: http://www.logic.univie.ac.at/~jkrueger
Corresponding

Abstract

We construct a model in which there is a strongly compact cardinal κ such thai the set S(κ, κ+) ={ a Є Pκκ+: o.t.(a) = (a⋂ κ)+}is non-stationary.


Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2005

Access options

Get access to the full version of this content by using one of the access options below.

References

[1]Baumgartner, J., Iterated forcing, Surveys in set theory (Mathias, A., editor). Cambridge University Press, 1983, pp. 159.Google Scholar
[2]Cummings, J., Iterated forcing and elementary embeddings, preprint.Google Scholar
[3]Gitik, M., Nonsplitting subset of Pκκ+, this Journal, vol. 50 (1985), no. 4. pp. 881894.Google Scholar
[4]Gitik, M., Introduction to Prikry type forcing notions, preprint.Google Scholar
[5]Kanamori, A., The higher infinite, Springer-Verlag, 1994.Google Scholar
[6]Krueger, J., Adding clubs with square, preprint.Google Scholar
[7]Krueger, J., Destroying stationary sets, preprint.Google Scholar
[8]Magidor, M., How large is the first strongly compact cardinal?, Annals of Mathematical Logic, vol. 10 (1976), pp. 3357.CrossRefGoogle Scholar

Full text views

Full text views reflects PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.

Total number of HTML views: 0
Total number of PDF views: 8 *
View data table for this chart

* Views captured on Cambridge Core between September 2016 - 1st December 2020. This data will be updated every 24 hours.

Hostname: page-component-6d4bddd689-5jvq9 Total loading time: 27.739 Render date: 2020-12-01T12:42:03.973Z Query parameters: { "hasAccess": "0", "openAccess": "0", "isLogged": "0", "lang": "en" } Feature Flags last update: Tue Dec 01 2020 11:43:00 GMT+0000 (Coordinated Universal Time) Feature Flags: { "metrics": true, "metricsAbstractViews": false, "peerReview": true, "crossMark": true, "comments": true, "relatedCommentaries": true, "subject": true, "clr": false, "languageSwitch": true }

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Strong compactness and stationary sets
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

Strong compactness and stationary sets
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

Strong compactness and stationary sets
Available formats
×
×

Reply to: Submit a response


Your details


Conflicting interests

Do you have any conflicting interests? *